{"id":"vidhyamitra:city-day:rishikesh:2109-09-11:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2109-09-11","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2109-09-11","date_display":"September 11, 2109 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2109,"month":9,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491609.770833,"kali_year":5211,"ahargana":1903144.2708,"sun":{"sidereal_longitude":141.8992,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":344.2149,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":202.3157,"elapsed_within_tithi_degrees":10.3157},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4,"moon_longitude":344.2149,"elapsed_within_degrees":10.8816},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":126.1142},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2109,"month":9,"day":11,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2491609.770833,"ahargana":1903144.2708,"kali_year":5211,"ayanamsa_lahiri":25.3853,"grahas":{"sun":{"sidereal_longitude":142.87854199999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":342.451642,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false,"latitude":-1.6811},"mars":{"sidereal_longitude":110.71254199999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":124.43134199999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":108.84364199999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":186.52204200000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":278.25294199999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":142.258,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":322.258,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2109,"month":9,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491609.770833,"kali_year":5211,"ahargana":1903144.2708,"sun":{"sidereal_longitude":141.8992,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":344.2149,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":202.3157,"elapsed_within_tithi_degrees":10.3157},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4,"moon_longitude":344.2149,"elapsed_within_degrees":10.8816},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":126.1142},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.681,"elongation":157.684},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.681,"opposition_distance":22.316}},"eclipse_window_40days":[{"offset_days":-2,"type":"lunar","occurs":true,"moon_latitude":0.314,"opposition_distance":1.611},{"offset_days":14,"type":"solar","occurs":true,"moon_latitude":1.308,"elongation":2.915}]},"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"05:58","sunsetLocal":"18:28","solarNoonLocal":"12:13","dayLengthHours":12.488363788201433,"dayLengthDisplay":"12 Hours 29 Mins 18 Secs","nightLengthDisplay":"11 Hours 30 Mins 42 Secs","moonriseLocal":"19:21","moonsetLocal":"07:41","rahuKala":{"name":"Rāhu Kāla","start":"12:13","end":"13:47","startHours":12.215253464093955,"endHours":13.776298937619133,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:32","end":"09:06","startHours":7.532117043518417,"endHours":9.093162517043595,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:39","end":"12:13","startHours":10.654207990568775,"endHours":12.215253464093955,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:18","startHours":8.885023120573571,"endHours":9.301301913513619,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:29","end":"06:49","startHours":6.491420061168298,"endHours":6.824443095520336,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:48","end":"12:38","startHours":11.798974671153907,"endHours":12.631532257034003,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:18","end":"05:08","startHours":4.305956398233047,"endHours":5.138513984113143,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:56","end":"05:58","startHours":4.930374587643119,"endHours":5.971071569993238,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:18","end":"15:08","startHours":14.296647428794195,"endHours":15.129205014674291,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:16","end":"18:40","startHours":18.259435358194672,"endHours":18.65943535819467,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:28","end":"18:59","startHours":18.45943535819467,"endHours":18.97978384936973,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:13","end":"19:58","startHours":18.20943535819467,"endHours":19.95943535819467,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:48","end":"00:38","startHours":23.798974671153907,"endHours":24.631532257034003,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:58","end":"07:32","startHours":5.971071569993238,"endHours":7.532117043518417,"quality":"auspicious"},{"name":"Amṛta","start":"07:32","end":"09:06","startHours":7.532117043518417,"endHours":9.093162517043595,"quality":"auspicious"},{"name":"Kāla","start":"09:06","end":"10:39","startHours":9.093162517043595,"endHours":10.654207990568775,"quality":"inauspicious"},{"name":"Śubha","start":"10:39","end":"12:13","startHours":10.654207990568775,"endHours":12.215253464093955,"quality":"auspicious"},{"name":"Roga","start":"12:13","end":"13:47","startHours":12.215253464093955,"endHours":13.776298937619133,"quality":"inauspicious"},{"name":"Udveg","start":"13:47","end":"15:20","startHours":13.776298937619133,"endHours":15.337344411144311,"quality":"inauspicious"},{"name":"Chala","start":"15:20","end":"16:54","startHours":15.337344411144311,"endHours":16.89838988466949,"quality":"neutral"},{"name":"Labha","start":"16:54","end":"18:28","startHours":16.89838988466949,"endHours":18.45943535819467,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:28","end":"19:54","startHours":18.45943535819467,"endHours":19.89838988466949,"quality":"inauspicious"},{"name":"Chala","start":"19:54","end":"21:20","startHours":19.89838988466949,"endHours":21.337344411144315,"quality":"neutral"},{"name":"Labha","start":"21:20","end":"22:47","startHours":21.337344411144315,"endHours":22.776298937619135,"quality":"auspicious"},{"name":"Amṛta","start":"22:47","end":"00:13","startHours":22.776298937619135,"endHours":24.215253464093955,"quality":"auspicious"},{"name":"Kāla","start":"00:13","end":"01:39","startHours":24.215253464093955,"endHours":25.654207990568775,"quality":"inauspicious"},{"name":"Śubha","start":"01:39","end":"03:06","startHours":25.654207990568775,"endHours":27.093162517043595,"quality":"auspicious"},{"name":"Roga","start":"03:06","end":"04:32","startHours":27.093162517043595,"endHours":28.53211704351842,"quality":"inauspicious"},{"name":"Udveg","start":"04:32","end":"05:58","startHours":28.53211704351842,"endHours":29.97107156999324,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:58","end":"06:58","startHours":5.971071569993238,"endHours":6.971071569993238,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:58","end":"07:58","startHours":6.971071569993238,"endHours":7.971071569993238,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:58","end":"08:58","startHours":7.971071569993238,"endHours":8.971071569993239,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:58","end":"09:58","startHours":8.971071569993239,"endHours":9.971071569993239,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:58","end":"10:58","startHours":9.971071569993239,"endHours":10.971071569993239,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:58","end":"11:58","startHours":10.971071569993239,"endHours":11.971071569993239,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:58","end":"12:58","startHours":11.971071569993239,"endHours":12.971071569993239,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:58","end":"13:58","startHours":12.971071569993239,"endHours":13.971071569993239,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:58","end":"14:58","startHours":13.971071569993239,"endHours":14.971071569993239,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:58","end":"15:58","startHours":14.971071569993239,"endHours":15.971071569993239,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:58","end":"16:58","startHours":15.971071569993239,"endHours":16.97107156999324,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:58","end":"17:58","startHours":16.97107156999324,"endHours":17.97107156999324,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:58","end":"18:58","startHours":17.97107156999324,"endHours":18.97107156999324,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:58","end":"19:58","startHours":18.97107156999324,"endHours":19.97107156999324,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:58","end":"20:58","startHours":19.97107156999324,"endHours":20.97107156999324,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:58","end":"21:58","startHours":20.97107156999324,"endHours":21.97107156999324,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:58","end":"22:58","startHours":21.97107156999324,"endHours":22.97107156999324,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:58","end":"23:58","startHours":22.97107156999324,"endHours":23.97107156999324,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:58","end":"00:58","startHours":23.97107156999324,"endHours":24.97107156999324,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:58","end":"01:58","startHours":24.97107156999324,"endHours":25.97107156999324,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:58","end":"02:58","startHours":25.97107156999324,"endHours":26.97107156999324,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:58","end":"03:58","startHours":26.97107156999324,"endHours":27.97107156999324,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:58","end":"04:58","startHours":27.97107156999324,"endHours":28.97107156999324,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:58","end":"05:58","startHours":28.97107156999324,"endHours":29.97107156999324,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":4.640348971771067,"eotMinutes":4.014392154362758,"ayanamsa":25.3853}},"calendars":{"vikram_samvat":2166,"vikram_samvatsara":"Citrabhānu","saka_samvat":2031,"saka_samvatsara":"Śukla","bengali_samvat":1516,"malayalam_era":1285,"nanakshahi_year":640,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Dvitīyā · Vikram 2166 Citrabhānu · Śaka 2031 Śukla"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"rishikesh"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga September 11, 2109 CE · Ṛṣikeśa · Vidhyamitra","description":"September 11, 2109 CE for Ṛṣikeśa: Kṛṣṇa Dvitīyā, sūryodaya 05:58, sūryāsta 18:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2109-09-11","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2109-09-11","sa":"https://sa.vidhyamitra.com/city/rishikesh/2109-09-11","hi":"https://hi.vidhyamitra.com/city/rishikesh/2109-09-11","x-default":"https://vidhyamitra.com/city/rishikesh/2109-09-11"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T23:41:04.788Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-31T23:41:04.788Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T23:41:04.788Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}